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Australian AMC 2022 - Senior Question 18

AMC AUSTRALIA · Australian AMC 2022 - Senior

Question 18

The square pyramid shown is divided into 3 pieces, $P,Q,R$, by two planes that are parallel to the square base. Each of the 3 pieces has the same height. The volume of the piece $P$ is $5\text{ cm}^3$. What is the volume of piece $R$, in $\text{cm}^3$?

Question illustration
  1. 15
  2. 25
  3. 40
  4. 95
  5. 125